Positive dispersion optical fiber

ABSTRACT

The present invention provides devices and methods for dispersion compensation. According to one embodiment of the invention, a dispersion compensating device includes a negative dispersion fiber having an input configured to receive the optical signal, the negative dispersion fiber having a length and dispersion sufficient to remove any positive chirp from each wavelength channel of the optical signal, thereby outputting a negatively chirped optical signal; an amplifying device configured to amplify the negatively chirped optical signal; and a nonlinear positive dispersion fiber configured to receive the negatively chirped optical signal. The devices of the present invention provide broadband compensation for a systems having a wide range of variable residual dispersions.

[0001] This application claims the benefit of priority under 35 U.S.C. § 1 19(e) of U.S. Provisional Application Serial No. 60/418080, filed Oct. 11, 2002, the content of which is relied upon and incorporated herein by reference in its entirety.

BACKGROUND OF THE INVENTION

[0002] 1. Field of the Invention

[0003] The present invention relates generally to optical communications, and more specifically to devices and methods providing dispersion compensation of an optical signal.

[0004] 2. Technical Background

[0005] As the bit rates of optical communications systems increase, the deleterious effects of dispersion in the optical fibers used in long-distance transmission become increasingly important. Dispersion causes an optical pulse to spread out in time; the longer wavelength components of the pulse travel along the fiber at a different rate than do the shorter wavelength components of the pulse. Typically, long-distance transmission fibers (e.g. LEAF®, available from Corning Incorporated of Corning, N.Y.) have a small but non-negligible positive dispersion, causing the shorter wavelength components to arrive at a network node before the longer wavelength components. Such a pulse is said to be positively chirped. This temporal spreading can cause loss of signal fidelity and an increase in bit error rate.

[0006] Conventional methods of dispersion compensation use dispersion compensating fiber to reverse the effects of dispersion in the transmission fiber. Dispersion compensating fiber typically has a large negative dispersion to counteract the positive dispersion of the transmission fiber. In one type of conventional dispersion compensating device, a dispersion compensating fiber is packaged on a spool in a module. The length and dispersion properties of the dispersion compensating fiber are chosen to balance the dispersion of the span of transmission fiber to which it is coupled. A positively chirped optical signal from the transmission fiber is propagated through the dispersion compensating fiber, and the negative dispersion of the dispersion compensating fiber removes the positive chirp from the optical signal, forming a signal with essentially no chirp. While such conventional methods are relatively simple to implement, they are limited in that they are passive; the dispersion compensation properties of such passive dispersion compensation devices are determined by the length and dispersion properties of the dispersion compensating fiber. If the chirp of the incoming optical signal is substantially different than that for which the device was designed, the device will be ineffective at providing an essentially chirp-free optical signal. Such devices are also generally unable to remove all of the chirp of the optical signal, imposing a residual dispersion on the transmission link. In an optical communications system with large distances of transmission fiber and multiple passive dispersion compensation devices, the residual dispersion can have a significant impact on the quality of the optical signal. Residual dispersion is especially damaging in long-distance (e.g. >1000 km) 10 Gb/s systems as well as in 40 Gb/s systems.

[0007] Wavelength division multiplexing techniques have become ubiquitous in optical communications. As such, optical signals typically have a plurality of wavelength channels over a relatively broad (e.g. tens of nanometers) range of wavelengths. It is therefore desirable for dispersion compensating devices to provide dispersion compensation over a broad range of wavelengths. Conventional grating-based devices and planar waveguide-based devices provide controllable dispersion compensation only over a relatively narrow band of wavelengths, and are very expensive to produce. Micro-optic-based dispersion compensators have also been proposed. While these devices can provide broadband compensation, they suffer from high excess loss and low reliability.

SUMMARY OF THE INVENTION

[0008] One aspect of the present invention relates to a dispersion compensating device for an optical signal having a plurality of wavelength channels lying within a wavelength range, the dispersion compensating device including a negative dispersion fiber having an input configured to receive the optical signal, the negative dispersion fiber having a length and dispersion sufficient to remove any positive chirp from each wavelength channel of the optical signal, thereby outputting a negatively chirped optical signal; an amplifying device configured to amplify the negatively chirped optical signal; a nonlinear positive dispersion fiber configured to receive the negatively chirped optical signal.

[0009] Another aspect of the present invention relates to an optical communications system for an optical signal having a plurality of wavelength channels lying within a wavelength range, the optical communications system including a negative dispersion fiber having an input configured to receive the optical signal, the negative dispersion fiber having a length and dispersion sufficient to remove any positive chirp from each wavelength channel of the optical signal, thereby outputting a negatively chirped optical signal; an amplifying device configured to amplify the negatively chirped optical signal; and a nonlinear positive dispersion fiber configured to receive the negatively chirped optical signal.

[0010] Another aspect of the present invention relates to a nonlinear positive dispersion optical fiber comprising a refractive index profile having a core region, a first annular region disposed about and in contact with the outer periphery of the core region, a cladding region disposed about and in contact with the first annular region, and wherein the refractive index profile is selected to provide an effective area less than about 35 μm² at a wavelength of 1550 nm, and a total dispersion more positive than about 8 ps/nm/km at a wavelength of 1550 nm.

[0011] Another aspect of the present invention relates to a method for performing dispersion compensation of an optical signal, the optical signal having a plurality of wavelength channels lying within a wavelength range, the method including the steps of removing any positive dispersion from each wavelength channel of the optical signal, thereby forming a negatively chirped optical signal; amplifying the negatively chirped optical signal; and propagating the negatively chirped optical signal in a nonlinear positive dispersion fiber.

[0012] The devices and methods of the present invention result in a number of advantages over prior art devices and methods. For example, the present invention provides a dispersion compensating device that can provide broadband compensation of a wavelength division multiplexed optical signal. The dispersion compensating devices, systems and methods of the present invention can effectively compress pulses having a wide range of chirps, thereby providing compensation for a wide range of residual dispersion values. The dispersion compensating devices, systems and methods of the present invention provide compression of pulses having a wide dynamic range of pulse widths and peak powers. The devices are fiber-based, and therefore do not suffer from high insertion losses associated with coupling energy into planar or micro-optic devices. The devices, systems and methods of the present invention rely on a nonlinear effect to provide dynamic compensation; as such, the device will react quickly to changes in the chirp of the optical signal. The dispersion compensating devices of the present invention can also provide gain to an optical signal. The devices and methods of the present invention are especially useful for compensation of residual dispersion in long-distance 10 Gb/s and in 40 Gb/s optical communications systems.

[0013] Additional features and advantages of the invention will be set forth in the detailed description which follows, and in part will be readily apparent to those skilled in the art from the description or recognized by practicing the invention as described in the written description and claims hereof, as well as in the appended drawings.

[0014] It is to be understood that both the foregoing general description and the following detailed description are merely exemplary of the invention, and are intended to provide an overview or framework for understanding the nature and character of the invention as it is claimed.

[0015] The accompanying drawings are included to provide a further understanding of the invention, and are incorporated in and constitute a part of this specification. The drawings are not necessarily to scale, and sizes of various elements may be distorted for clarity. The drawings illustrate one or more embodiment(s) of the invention, and together with the description serve to explain the principles and operation of the invention.

BRIEF DESCRIPTION OF THE DRAWINGS

[0016]FIG. 1 is a schematic view of a dispersion compensating device according to one embodiment of the present invention.

[0017]FIG. 2 is a diagram showing pulse width and chirp of three wavelength channels at various points in the dispersion compensating device of FIG. 1.

[0018]FIG. 3 is a graph showing the qualitative relationship between pulse width of amplified negatively chirped pulses and propagation distance in a nonlinear positive dispersion fiber.

[0019]FIG. 4 is a diagram of a refractive index profile of an embodiment of the nonlinear positive dispersion fibers of the present invention.

[0020]FIG. 5 is a diagram of refractive index profiles of other embodiments of the nonlinear positive dispersion fibers according to the present invention.

[0021]FIG. 6 is a schematic view of a dispersion compensating device according to another embodiment of the present invention.

[0022]FIG. 7 is a schematic view of a dispersion compensating device using Raman amplification according to another embodiment of the present invention.

[0023]FIG. 8 is a schematic view of a dispersion compensating device using Raman amplification in conjunction with a discrete amplifier according to another embodiment of the present invention.

[0024]FIG. 9 is a graph showing Q factor vs. per channel power for the two channel experiment of Example 1.

[0025]FIG. 10 is a graph showing Q factor improvement vs. per channel power for multiple channel experiments of Example 1.

[0026]FIG. 11 is a schematic diagram of the experimental setup of Example 2.

[0027]FIG. 12 is a graph showing pulse width vs. input signal power for three different Raman pump powers for the experiment of Example 2.

[0028]FIG. 13 is a set of autocorrelation traces for a series of different Raman pump powers for the experiment of Example 2.

[0029]FIG. 14 is a diagram of refractive index profiles of other embodiments of the nonlinear positive dispersion fibers according to the present invention.

DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS Definitions

[0030] The following definitions are in accord with common usage in the art.

[0031] The refractive index profile is the relationship between refractive index and optical fiber radius.

[0032] Delta, Δ, is the relative refractive index percent, Δ=(n_(i) ²−n_(c) ²)/2n_(i) ², where n_(i) is the specified refractive index in region i, and n_(c) is the average refractive index of the cladding region. Deltas are conventionally expressed as percents.

[0033] One aspect of the present invention relates to a dispersion compensating device including a negative dispersion fiber, an amplifying device, and a positive dispersion fiber. A dispersion compensating device according to one aspect of the present invention is shown in schematic view in FIG. 1. Dispersion compensating device 20 includes a negative dispersion fiber 22, a discrete amplifier 24, and a nonlinear positive dispersion fiber 26 connected in series. An input optical signal 30 including distorted pulses 32, 34 and 36 enter the device at the negative dispersion fiber. Each of the distorted pulses 32, 34 and 36 may be from a single wavelength channel of a wavelength division multiplexed optical signal. Pulses coming from conventional optical communications systems may have a positive chirp or a negative chirp, depending on the wavelength dependence of the dispersion characteristics of the transmission fibers and dispersion compensating devices of the system. In the example of FIG. 1, pulse 32 has a larger positive chirp than does pulse 34, while pulse 36 has a negative chirp In the drawings of the present application, positively chirped pulses are drawn as positive peaks (e.g. pulse 32), while negatively chirped pulses are drawn as negative peaks (e.g. pulse 36).

[0034] The pulses 32, 34 and 36 propagate through the negative dispersion fiber 22. In desirable embodiments of the invention, the input optical signal 30 is not intense enough to cause significant nonlinear effects in the negative dispersion fiber. The negative dispersion fiber 22 has a length and negative dispersion sufficient to remove any positive chirp from each of the wavelength channels of the input optical signal 30. For example, the negative dispersion fiber may have a dispersion more negative than −50 ps/nm/km over the wavelength range of the input optical signal 30. In desirable embodiments of the present invention, the negative dispersion fiber has a length sufficient to impose a dispersion more negative than −300 ps/nm on the input optical signal. Propagation of the input optical signal 30 through the negative dispersion fiber yields a negatively chirped optical signal 40. In the example of FIG. 1, the negatively chirped optical signal 40 includes negatively chirped pulses 42, 44 and 46. Pulse 42 has the smallest negative chirp, while pulse 46 has the largest negative chirp.

[0035] The negatively chirped optical signal 40 is coupled into discrete amplifier 24. The discrete amplifier 24 may be, for example, an erbium-doped fiber amplifier, or a discrete Raman amplifier, and desirably has a control mechanism operable to adjust the gain of the amplifier. In embodiments of the present invention having germania-doped silica based nonlinear positive dispersion fibers, the amplifier desirably increases the power carried by each wavelength channel to at least about 5 mW. In especially desirable embodiments of the present invention having germania-doped silica based nonlinear positive dispersion fibers, the amplifier increases the power carried by each wavelength channel to at least about 15 mW. In embodiments of the present invention having nonlinear positive dispersion fibers with higher nonlinearity than silica (e.g. chalcogenide photonic crystal or ‘holey’ fibers), the amplifier may provide significantly less amplification.

[0036] The amplified negatively chirped optical signal 50 (including amplified pulses 52, 54 and 56) is coupled into nonlinear positive dispersion fiber 26. The amplified negatively chirped optical signal has a power sufficient to cause significant nonlinear effects in the nonlinear positive dispersion fiber 26. In the nonlinear positive dispersion fiber 26, the interplay of pulse compression due to the positive linear dispersion of the fiber and pulse expansion due to self phase modulation in the fiber acts to provide compressed pulses at the output of the fiber. For example, pulse 46 in FIG. 1 has a relatively large negative chirp. As the pulse propagates along the nonlinear positive dispersion fiber, the positive dispersion of the nonlinear positive dispersion fiber will serve to narrow pulse 46. As the pulse becomes more and more narrow, its power density increases, and pulse expansion due to self phase modulation becomes more and more important, gradually lessening the compression effect of the positive dispersion of the fiber. At some level of pulse compression, the expansion due to self phase modulation essentially balances the compression due to dispersion, causing the pulse to propagate through the remainder of the nonlinear positive dispersion fiber without any further significant compression or expansion. The length of the nonlinear positive dispersion fiber is chosen to guarantee that pulses with the smallest positive chirp at the input of the device (and hence the largest negative chirp at the input of the nonlinear positive dispersion fiber) propagate a sufficient distance in the nonlinear positive dispersion fiber to achieve the state of self phase modulation/dispersion balance.

[0037] A diagram quantitatively showing pulse width and chirp at various points in the device of FIG. 1 is shown in FIG. 2. Upon entering the device, pulse 32 has a larger pulse width than does pulse 34. Both pulses 32 and 34 are positively chirped. Pulse 36 has a negative chirp. After the negative dispersion fiber, all three pulses are negatively chirped, with pulse 46 having the largest negative chirp and pulse width. The pulses are amplified to yield amplified pulses 52, 54 and 56. As pulse 56 propagates through the nonlinear positive dispersion fiber, the positive dispersion of the fiber compresses the pulse. As the pulse becomes more and more compressed, its peak power increases, causing expansion due to self phase modulation to become increasingly important. Eventually, the expansion and compression cancel each other out, and compressed pulse 57 propagates through the remainder of the nonlinear positive dispersion fiber with little further change in pulse width. Pulse 54 is narrower in width than pulse 56, and reaches the state of dispersion/self phase modulation balance before pulse 57. Pulse 52 is already mostly compressed when it enters the nonlinear positive dispersion fiber, and reaches the state of dispersion/self phase modulation balance after a relatively short propagation distance. It is noted that while the output signal 59 is shown here as having a slight negative chirp, the chirp of the pulses of the output signal may be negative, positive, or essentially zero.

[0038] The amount of self phase modulation of a pulse in an optical fiber is proportional to the power of the pulse. As such, the effective gain of the amplifier can be controlled to select a desired level of self phase modulation in the nonlinear positive dispersion fiber, and therefore determine the balance between dispersion and self phase modulation. It is noted that the effective gain of the amplifier can be controlled by adjusting the gain of the amplifier itself, or by using a variable optical attenuator at the output of the amplifier. FIG. 3 is a graph showing the qualitative relationship between pulse width of amplified negatively chirped pulses and propagation distance in a nonlinear positive dispersion fiber for input pulses having the same pulse width but different peak powers. Higher amplification causes more self phase modulation, which causes the more amplified pulse to reach a state of compression/expansion balance earlier in the fiber than the less amplified pulses. The gain of the amplifier can be set by the skilled artisan to minimize the width of the pulses propagating in the nonlinear positive dispersion fiber. Feedback control may also be used to dynamically control the pulse widths.

[0039] The skilled artisan can use standard numerical methods to simulate the balance between self phase modulation and fiber dispersion for purposes of device design. For example, the total field method proposed by Francois in “Nonlinear propagation of ultrashort pulses in optical fibers: total field formulation in the frequency domain,” J. Opt. Soc. Am B, Vol. 8, No. 2, pp 276-293, February 1991, which is incorporated herein by reference, may be used. A good approximation of the pulse power required to balance dispersion and self phase modulation in a nonlinear positive dispersion fiber is given by the equation $\begin{matrix} {P = \frac{\lambda^{3}{DA}}{1.28\pi^{2}{cn}_{1}\tau^{2}}} & {{Equation}\quad 1} \end{matrix}$

[0040] in which P is the power of the pulse, λ is the center wavelength of the pulse, D is the dispersion of the optical fiber (e.g. in ps/nm/km), c is the speed of light, n₁ is the nonlinear index of refraction of the material of the core of the nonlinear positive dispersion fiber (e.g.: silica has n₂˜3×10⁻¹⁶ cm²/W), and τ is the width of the pulse. Further information regarding soliton propagation may be found in Fiber Optics Handbook, Michael Bass ed. , Chapter 7: “Solitons in Optical Fiber Communication Systems,” P. V. Manyshev, McGraw-Hill, 2002.

[0041] To minimize the power required to achieve the desired balance of self phase modulation and dispersion, the nonlinear positive dispersion optical fiber preferably has an effective area less than about 35 t μm², and a total dispersion preferably more positive than about 8 ps/nm/km, both at a wavelength of 1550 nm. For use with optical communication systems operating at 10 Gb/s, preferably the nonlinear positive dispersion optical fiber has a dispersion between about 15 ps/nm/km and about 35 ps/nm/km at a wavelength of 1550 nm, more preferably between about 15 ps/nm/km and 25 ps/nm/km, and most preferably between about 15 ps/nm/km and 20 ps/nm/km. The nonlinear optical fiber suitable for 10 Gb/s transmission preferably has an effective area between about 16 μm² and 35 μm² at a wavelength of 1550 nm, more preferably between about 16 μm² and 20 μm², and most preferably between 16 μm² and 18 μm².

[0042] Nonlinear positive dispersion optical fibers suitable for use with optical communication systems operating at 40 Gb/s generally have lower pulse powers than systems operating at 10 Gb/s and, therefore, less total dispersion can be tolerated. Nonlinear positive dispersion optical fibers intended for use in 40 Gb/s systems preferably have total dispersion values between about 8 ps/nm/km and 15 ps/nm/km at a wavelength of 1550 nm, and more preferably between about 9 ps/nm/km and 12 ps/nm/km. Low effective areas for such optical fibers can be achieved by increasing the refractive index of the core region, or by decreasing the refractive index of a depressed first annular region, sometimes referred to as a moat. Nonlinear positive dispersion optical fibers suitable for operation at 40 Gb/s transmission preferably have an effective area between about 8 μm² and 14 μm² at a wavelength of 1550 nm, and more preferably between about 8 μm ² and 10 μm². Preferably the nonlinear positive dispersion fiber has a dispersion slope in the range between about 0.02 ps/nm²/km and 0.06 ps/nm²/km at a wavelength of 1550 nm, more preferably between about 0.02 ps/nm²/km and 0.04 ps/nm²/km.

[0043] A parameter useful for characterizing the dispersion properties of an optical fiber is the ratio of the total dispersion divided by the dispersion slope, referred to as kappa (K) and having units of nanometers (nm). Preferably the nonlinear positive dispersion optical fiber disclosed herein has a K at a wavelength of 1550 nm between about 250 nm and 550 nm, more preferably between about 290 nm and 455 nm, and most preferably between about 390 nm and 525 nm.

[0044] The nonlinear positive dispersion optical fiber of the present invention preferably comprises a longitudinal center axis, a core region, a first annular region or moat, and a cladding region. The core region has an outer radius r₁, a maximum refractive index value of n₁, and a relative refractive index Δ₁. Preferably, r₁ is between about 1.5 μm and 3 μm, more preferably 1.7 μm and 2.7 μm. Preferably, Δ₁ is between about 0.4% and 3%, more preferably between about 1% and 2%. The moat has an outer radius r₂, disposed about and in contact with an outer periphery of the core region, a minimum refractive index value of n₂ (where n₂<n₁), and a relative refractive index Δ₂. Preferably, Δ₂ is between about −0.3% and −2%, more preferably between about −0.4% and −1%. The cladding segment has an outer radius r₃, disposed about and in contact with an outer periphery of the moat, a maximum refractive index value of n₃(where n₂<n₃<n₁), and a relative refractive index Δ₃. The core region is preferably comprised of pure SiO₂ doped with a pre-determined amount of a dopant to raise the absolute refractive index of the core region to n₁(n₁>n_(o), where n_(o) is the refractive index of pure SiO₂). Preferably the core region dopant comprises GeO₂.

[0045] On the other hand, the moat has an outer diameter of r₂ and is formed such that pure SiO₂ glass is doped with a predetermined amount of a dopant for lowering the refractive index (down doping), whereby its refractive index attains a minimum value of n₂(n₂<n_(o), n₂<n₁). Preferably the moat is doped with F. Preferably, the moat has an outer radius r₂ between about 5 μm and 10 μm, more preferably between about 6 μm and 8 μm. The cladding region has an outer radius of r₃, and is formed by pure SiO₂ glass, or SiO₂ glass doped with a predetermined amount of a dopant suitable for adjusting the refractive index, wherein the refractive index of the cladding attains a maximum value of n₃(n₃≧n_(o), n₂<n₃<n₁). Preferably, r₃ is about 62.5 μm. Preferably, the nonlinear positive dispersion optical fiber disclosed herein has a ratio of the radius of the core region divided by the radius of the moat (r₁/r₂, core/moat ratio) between about 0.15 and 0.40, more preferably between about 0.3 and 0.4, and most preferably between about 0.20 and 0.30. Preferably, the nonlinear positive dispersion optical fiber has an optical attenuation less than about 1 dB/km at a wavelength of 1550 nm, more preferably less than about 0.7 dB/km, and most preferably less than about 0.5 dB/km.

[0046]FIG. 4 shows an exemplary refractive index profile 118 depicting refractive index as a function of radius for the nonlinear positive dispersion fiber disclosed herein. The figure illustrates a refractive index profile that is useful for systems employing 10 Gb/s transmission. FIG. 4 further illustrates various regions and parameters of the optical fiber refractive index profile 118 as referenced herein. It is intended that these regions and parameters apply also to the refractive index profiles depicted in FIG. 5 and FIG. 14. The optical fiber of FIG. 4 is comprised of a core region 120, a moat 122 and a cladding region 124. The core region 120 of refractive index profile 118 comprises an outer radius r₁, a maximum refractive index n₁, and a relative refractive index of Δ₁. Moat 122 is disposed about and in contact with the outer periphery of the core region 120. Moat 122 has an outer radius r₂, a minimum refractive index n₂(where n₂<n₁), and a relative refractive index of Δ₂. The cladding region 124 is disposed about and in contact with the outer periphery of moat 122. Cladding region 124 has an outer radius r₃, and a maximum refractive index n₃(where n₂<n₃<n₁). In FIG. 4, radius r₁ is defined as the radius of refractive index profile 118 at a delta value of (Δ₁+Δ₂)/2 and radius r₂ is defined as the radius of refractive index profile 118 at a delta value of Δ₂/2. In FIG. 4 (and FIGS. 5 and 14), Δ₃=0 and is not shown. Radius r₃ is defined as the radius at the outermost periphery of cladding region 124. A summary of optical fiber attributes modeled at a wavelength of 1550 nm for the refractive index profiles displayed in FIG. 4 and FIG. 5 are provided in Table 1 below. TABLE 1 Profile 118 126 128 130 132 λ_(cf)(nm) 1549 1545 1548 1546 1457 MFD (μm) 4.86 4.64 4.54 4.41 4.78 A_(eff) (μm) 19.5 18.1 17.6 17.1 19.53 D 19.1 23.3 26.5 31.0 26.2 (ps/nm/km) S 0.0488 0.0521 0.0552 0.0596 0.0553 (ps/nm²/km) K (nm) 391.4 447.2 480.1 520.1 473.8 Att (dB/km) 0.241 0.248 0.252 0.257 0.245 r₁ (μm) 2.6 2.62 2.67 2.73 2.8 Δ₁ (%) 1.63 1.75 1.8 1.85 1.5 r₂ (μm) 7 7 7 7 8 Δ₂ (%) −0.4 −0.8 −1.2 −2 −1.2 r₃ (μm) 62.5 62.5 62.5 62.5 62.5 Δ₃ (%) 0 0 0 0 0 r₁/r₂ 0.371 0.374 0.381 0.39 0.35

[0047] where λ_(cf) is the fiber cutoff wavelength when measured on a 2 meter length of optical fiber, MFD is the mode field diameter, A_(eff) is the effective area, D is the total dispersion, S is the slope of the dispersion curve, K is the ratio of dispersion divided by the dispersion slope, Att. is the optical fiber attenuation, and r₁/r₂ is the ratio of the core radius divided by the moat radius.

[0048]FIG. 14 illustrates exemplary refractive index profiles depicting refractive index as a function of radius for nonlinear positive dispersion optical fibers that are useful for systems employing 40 Gb/s transmission. The optical fibers of this figure have higher core region deltas (Δ₁) and lower moat deltas (Δ₂) compared to the optical fibers represented in FIGS. 4 and 5. For reference, the refractive index of pure SiO₂ is indicated in FIG. 14 by a delta (Δ%) of zero. The larger magnitude deltas result in lower total dispersion and smaller effective areas. Optical fibers having larger magnitude deltas, particularly core delta (Δ₁), also exhibit better attenuation performance under bending conditions. A summary of optical fiber attributes measured at a wavelength of 1550 nm for the refractive index profiles displayed in FIG. 14 are provided in Table 2 below. TABLE 2 Profile 134 136 138 λ_(cf) (nm) 1331 1452 1080 MFD (μm) 4.08 3.7 3.51 A_(eff) (μm) 13.3 11 9.9 D (ps/nm/km) 10 10 9.9 S (ps/nm²/km) 0.0337 0.0293 0.0222 K (nm) 296.7 341.3 450.5 Att (dB/km) 0.256 0.283 0.293 r₁ (μm) 2.01 1.86 1.76 Δ₁ (%) 2.01 2.66 2.01 r₂ (μm) 7 7 6 Δ₂ (%) −0.5 −0.5 −1.5 r₃ (μm) 62.5 62.5 62.5 Δ₃ (%) 0 0 0 r₁/r₂ 0.287 0.266 0.251

[0049] The nonlinear positive dispersion fibers disclosed herein can be fabricated by the skilled artisan, for example, using germanium and fluorine-doping of silica glass using standard OVD, MCVD, PCVD or VAD methods. Other nonlinear positive dispersion fibers, however, may be used in the present invention. For example, the skilled artisan may use microstructured optical fibers (e.g. photonic crystal or ‘holey’ fibers), such as those formed from chalcogenide glass materials and described in U.S. patent application Ser. No. 10/146,199. It is noted that due to the high nonlinearity of the chalcogenide glass materials, much lower pulse powers would be necessary to balance dispersion and self-phase modulation in such fibers.

[0050] Another embodiment of the invention is shown in schematic view in FIG. 6. The dispersion compensating device 60 includes a negative dispersion fiber 62, a discrete amplifier 64, and a nonlinear positive dispersion fiber 66, as described in connection with FIG. 1. A pre-amplifier 67 is coupled to the input of the negative dispersion fiber. The pre-amplifier may be used to provide enough gain to the incoming optical signal so that it is not irreparably damaged by attenuation in the negative dispersion fiber. Desirably, the pre-amplifier does not boost the power of the incoming optical signal to a level sufficient to cause nonlinear effects in the negative dispersion fiber.

[0051] The dispersion compensating device 60 also includes a wavelength-dependent attenuator 68 operatively positioned between the discrete amplifier and the nonlinear positive dispersion fiber. The wavelength-dependent attenuator can be any suitable device that provides differing levels of attenuation for different wavelength channels of the optical signal. The wavelength-dependent attenuator may be passive or actively controllable, and may be based on various technologies, such as fiber Bragg gratings and cascaded Mach-Zehnder interferometers. The wavelength-dependent attenuator may be, for example, a tilt VOA or a slope VOA, such as those described in U.S. patent application Ser. No. 09/929,498, which is incorporated herein by reference; or a dynamic gain flattening filter such as that described in U.S. patent application Ser. No. 09/902,424, and in U.S. patent application Publication 2002/0054726, which are incorporated herein by reference. The wavelength-dependent attenuator allows the skilled artisan to adjust the compression of individual wavelength channels relative to one another. As discussed above, the compression of a pulse depends on both the dispersion of the nonlinear positive dispersion fiber and power of the pulse. The nonlinear positive dispersion fiber may have a significantly different dispersion for each wavelength channel of the optical signal. The amplifier may likewise have a significantly different gain for each wavelength channel of the optical signal. The skilled artisan may use the wavelength-dependent attenuator to adjust the pulse power of each wavelength channel to achieve a desired level of pulse compression. The wavelength-dependent attenuator may, for example, be used to flatten the gain of the discrete amplifier. The wavelength-dependent attenuator may also be used to provide higher pulse powers to wavelength channels having a higher wavelength or a higher dispersion in the nonlinear positive dispersion fiber. While in this embodiment the wavelength-dependent attenuator is operatively positioned between the discrete amplifier and the nonlinear positive dispersion fiber, it may also be positioned between the negative dispersion and the discrete amplifier in order to provide power compensation before amplification.

[0052] Dispersion compensating device 60 of FIG. 6 also includes a dispersion decreasing fiber 70 coupled to the output of the nonlinear positive dispersion fiber. A dispersion decreasing fiber is an optical fiber having a dispersion decreasing along its length. Dispersion decreasing fibers are described, for example, in “A Single Mode-Fiber with Chromatic Dispersion Varying Along the Length”, Bogatyrev et al., J. Lightwave Tech., Vol. 9, No.5, pp 561-566, 1991, which is incorporated herein by reference. When pulses with powers on the order of 10 mW are coupled from a high positive dispersion fiber to a low positive dispersion fiber, they can become distorted (e.g. by formation of pedestals). The dispersion decreasing fiber acts to transmit the compressed, high power pulses of the optical signal to a transmission fiber (e.g. LEAF®, available from Corning Incorporated of Corning, N.Y.) without distortion. As an alternative to a single dispersion decreasing fiber, a plurality of shorter fiber lengths, each having a lower dispersion than the previous fiber, may be used.

[0053] Another embodiment of the present invention is shown in schematic view in FIG. 7. In this embodiment of the invention, Raman pumping is used to provide gain in the nonlinear positive dispersion fiber. Dispersion compensating device 90 includes a negative dispersion fiber 92 and a nonlinear positive dispersion fiber 94 connected in series. The dispersion compensating device also includes an amplifying device configured to amplify the negatively chirped optical signal. According to this embodiment of the invention, the amplifying device is a Raman pump source 96 configured to cause Raman amplification of the optical signal in the nonlinear positive dispersion fiber 94. As shown in FIG. 7, the Raman pump source 96 may be configured to counterpump the nonlinear dispersion fiber; as the skilled artisan will appreciate, co-pumping or co-counterpumping configurations may also be used. An isolator 98 may be operatively positioned between the nonlinear positive dispersion fiber and the negative dispersion fiber to block the propagation of Raman pump power from the nonlinear positive dispersion fiber to the negative dispersion fiber. This embodiment of the invention is especially useful when the nonlinear positive dispersion fiber has an especially high nonlinearity (e.g. chalcogenide glass fibers).

[0054] The nonlinear positive dispersion fiber will have a non-negligible propagation loss. As such, in using the device of FIG. 1, the gain of the discrete amplifier must be set high enough to ensure that pulses are sufficiently intense at the end of the fiber to maintain the state of balance between self phase modulation and dispersion. The gain may be required to be high enough that other nonlinear effects (e.g. cross phase modulation and four wave mixing) distort the optical signal. Raman pumping can also be advantageously used in conjunction with a discrete amplifier to reduce the gain necessary from the discrete amplifier. An example of such a device is shown in FIG. 8. Device 100 includes a negative dispersion fiber 102, a discrete amplifier 104, and a nonlinear positive dispersion fiber 106, as described in connection with FIG. 1. The device also includes a Raman pump source 108 coupled to the nonlinear positive dispersion fiber via a WDM coupler 110. Raman pumping of the nonlinear positive dispersion fiber will provide additional amplification of the optical signal, allowing the gain of discrete amplifier 104 to be reduced. Desirably, the Raman pumping provides about enough amplification to counteract the effects of attenuation in the nonlinear positive dispersion fiber. In especially desirable embodiments of the present invention, the Raman pumping provides significant amplification over and above that needed to counteract the attenuation of the fiber, further reducing the gain necessary from the discrete amplifier.

[0055] The devices of the present invention may further include an enclosure in which the nonlinear positive dispersion fiber and the negative dispersion fiber are packaged. The amplifying device (e.g. discrete amplifier or Raman pump source) may also be packaged in the enclosure; alternatively, the amplifying device or Raman pump source may be located outside the enclosure.

[0056] Another aspect of the invention relates to an optical communications system including a negative dispersion fiber having an input configured to receive the optical signal, the negative dispersion fiber having a length and dispersion sufficient to remove any positive chirp from each wavelength channel of the optical signal, thereby outputting a negatively chirped optical signal; an amplifying device configured to amplify the negatively chirped optical signal; a nonlinear positive dispersion fiber configured to receive the negatively chirped optical signal. The negative dispersion fiber, amplifying device, and nonlinear positive dispersion fiber have properties substantially as described above. In desired embodiments of the present invention, there exists substantially no transmission fiber (e.g. less than 10 km, more desirably less than 1 km) operatively coupled between the negative dispersion fiber and the nonlinear positive dispersion fiber. It is noted that the length of fiber included in a discrete amplifier is not considered herein to be transmission fiber. The negative dispersion fiber and the nonlinear positive dispersion fiber may optionally be packaged in an enclosure. The systems of the present invention may be practiced substantially as described above in connection with the devices of the present invention.

[0057] Another aspect of the invention relates to a method for performing dispersion compensation of an optical signal having a plurality of wavelength channels lying within a wavelength range. The method includes the steps of removing any positive dispersion from each wavelength channel of the optical signal, thereby forming a negatively chirped optical signal; amplifying the negatively chirped optical signal; and propagating the negatively chirped optical signal in a nonlinear positive dispersion fiber. As described above in connection to FIG. 1, the step of removing any positive dispersion may be performed by propagating the optical signal through a negative dispersion fiber having a length and dispersion sufficient to remove any positive chirp from each wavelength channel of the optical signal. The step of amplifying the negatively chirped optical signal is performed by propagating the optical signal through a discrete amplifier; or may be performed by Raman pumping the nonlinear positive dispersion fiber. The negative dispersion fiber, amplifying device, and nonlinear positive dispersion fiber have properties substantially as described above. The gain of the amplification may be controlled to provide a desired level of compression of the pulses of the optical signal. The methods of the present invention may be practiced substantially as described above in connection with the devices of the present invention.

EXAMPLES

[0058] The present invention is further described by the following non-limiting examples.

Example 1

[0059] A dispersion compensating device including a negative dispersion fiber, an amplifying device, and a nonlinear positive dispersion fiber was constructed as shown in FIG. 1. The negative dispersion fiber was a flat slope dispersion compensating single mode fiber of a length sufficient to impose a dispersion of −440 ps/nm. The amplifying device included an erbium-doped fiber amplifier capable of 100 mW output along with a variable optical attenuator to control the gain of the amplifier. The nonlinear positive dispersion fiber had a dispersion of 22 ps/nm/km at a wavelength of 1550 nm, a propagation loss of about 0.45 dB/km, an effective area of 38 μm², and a length of 20 km.

[0060] An optical transmission system was coupled to the input of the negative dispersion fiber. The optical network system included 12 optical nodes (e.g. 4 optical cross-connects and 7 optical add-drop multiplexers) with 11 spans of LEAF® 100 km in length connecting the nodes. Each span of LEAF® was compensated using a dispersion compensating module. An extra length of fiber was added to the system to yield a residual dispersion of about 300 ps/nm at 1535.78 nm. The optical signal-to-noise ratio at the end of the transmission system was about 21 dB. The output of the dispersion compensating device was coupled to a photodetector.

[0061] An optical signal was allowed to propagate through the optical transmission system, through the dispersion compensating device, and into the photodetector. The optical signal had 38 channels at a 100 GHz channel spacing, with each channel carrying a 10 Gb/s RZ signal with a 50% duty cycle. In a first experiment, only two channels (1535.78 nm and 1537.38 nm) were allowed to couple from the transmission system to the dispersion compensating device. FIG. 9 shows a graph of the 1535.78 nm channel of system Q factor vs. the per channel power of the amplifying device of the dispersion compensating device. A maximum increase in Q factor of about 1.5 dB is achieved with a per channel power of about 30 mW. This improvement is significantly higher than the penalty arising from the dispersion itself, which results from the fact that the pulses can be compressed even further than the 50% duty cycle with which they were transmitted. For power levels greater than 30 mW, the Q factor begins to be reduced as a result of eye closure due to overcompression of the pulse. It is noted that the 1537.38 nm channel exhibited a similar increase in Q factor.

[0062] In subsequent experiments, greater numbers of channels (e.g. 4, 5, 8) were coupled into the dispersion compensating device. Similar trends in increase in Q factor were achieved in these multi-channel systems. It is noted that the per channel power was limited in these experiments by the 100 mW output power of the erbium-doped fiber amplifier. For example, the maximum per channel power for the 5 channel experiment was 20 mW, which does not appear to be sufficient for optimum pulse compression. The nonlinear positive dispersion fiber used in these experiments had a relatively large effective area; the power requirements of the device would be greatly relaxed by use of a nonlinear positive dispersion fiber with a smaller effective area.

[0063] Very little pulse distortion due to cross phase modulation and four wave mixing was observed at 100 GHz channel spacings. However, some cross phase modulation was observed in experiments at 50 GHz; for 50 GHz systems, it may be desirable to separate the 50 GHz signal into two interleaved 100 GHz signals, then use two separate dispersion compensating devices.

Example 2

[0064] The effect of Raman pumping on the devices of the present invention was investigated using the experimental setup of FIG. 11. A negatively chirped input signal was generated by gain switching a DFB laser diode 112 at 10 GHz. The center wavelength of the signal was 1546.72 nm, and the spectral bandwidth and duration of the pulses were 0.32 nm and 21.7 ps, respectively. The estimated chirp parameter of the pulses was C=1.67. The gain of the laser diode was adjusted to provide a desired signal power. It is noted that the high power, negatively chirped input signal simulated the output of the amplifying device in the devices of the present invention.

[0065] The negatively chirped input signal was coupled into a 5773 m length of nonlinear positive dispersion fiber 114 having a loss at 1450 nm of 0.766 dB/km, a loss at 1550 nm of 0.448 dB/km, a mode field diameter at 1550 nm of 4.416 μm, a dispersion at 1550 nm of 3.961 ps/nm/km, a dispersion slope at 1550 nm of 0.0486 ps/nm²/km, and a single mode cutoff wavelength of 1129 nm. The total attenuation of the fiber in the experiment was measured to be about 5.5 dB at the signal wavelength. A Raman pump source 116 operating at 1440.5 nm was configured to counterpump the nonlinear dispersion fiber 114. Pulse compression experiments were performed at a variety of input signal powers (simulating the effect of amplifying device gain in the devices of the present invention) and Raman pump powers.

[0066]FIG. 12 is a graph of pulse width vs. input signal power for a three different Raman pump powers. The skilled artisan will note that the threshold input signal power necessary for achieving dispersion compensation was significantly reduced by Raman pumping of the nonlinear positive dispersion fiber. FIG. 13 is a set of autocorrelation traces for the input signal pulse and output pulses for an average input signal power of 70.46 mW. The pedestal-shaped distortion of the output signal may be minimized by judicious choice of Raman pump power. It is noted that in this experiment, the output signal distortions were minimized when the Raman pump power was set at a level such that the Raman gain in the fiber approximately negated the propagation loss of the fiber at the signal wavelength. It will be apparent to those skilled in the art that various modifications and variations can be made to the present invention without departing from the spirit and scope of the invention. Thus, it is intended that the present invention cover the modifications and variations of this invention provided they come within the scope of the appended claims and their equivalents. 

We claim:
 1. An optical fiber comprising: a refractive index profile having a core region; a first annular region disposed about and in contact with the outer periphery of the core region; a cladding region disposed about and in contact with the first annular region; and wherein the refractive index profile is selected to provide an effective area less than about 35 μm² at 1550 nm, and a total dispersion more positive than about 8 ps/nm/km. at 1550 nm.
 2. The optical fiber of claim 1 wherein the core region has an outer radius r₁, a maximum index of refraction n₁, and a relative refractive index Δ₁, wherein the first annular region has an outer radius r₂, a minimum index of refraction n₂, and a relative refractive index Δ₂, and wherein the cladding region has an outer radius r₃, and a maximum index of refraction n₃, and n₂<n₃<n₁.
 3. The optical fiber of claim 2 wherein r₁ is selected to be in the range between about 1.5 μm to 3 μm, Δ₁ is selected to be in the range between about 0.4% and 3%, r₂ is between about 5 μm and 10 μm, and Δ₂ is selected to be in the range between about −0.3% and −2%.
 4. The optical fiber of claim 2 wherein r₁ is selected to be in the range between about 1.7 μm and 2.7 μm, Δ₁ is selected to be in the range between about 1% and 2%, r₂ is between about 6 μm and 8 μm, and Δ₂ is selected to be in the range between about −0.4% and −1%.
 5. The optical fiber of claim 1 wherein the dispersion is between about 8 ps/nm/km and 35 ps/nm/km at a wavelength of 1550 nm.
 6. The optical fiber of claim 1 wherein the dispersion is between about 15 ps/nm/km and 35 ps/nm/km at a wavelength of 1550 nm.
 7. The optical fiber of claim 1 wherein the dispersion is between about 15 ps/nm/km and 25 ps/nm/km at a wavelength of 1550 nm.
 8. The optical fiber of claim 1 wherein the dispersion is between about 8 ps/nm/km and 15 ps/nm/km at a wavelength of 1550 nm.
 9. The optical fiber of claim 1 wherein the effective area is between about 8 μm² and 35 μm² at a wavelength of 1550 nm.
 10. The optical, fiber of claim 1 wherein the effective area is between about 8 μm² and 20 μm² at a wavelength of 1550 nm.
 11. The optical fiber of claim 1 wherein the optical fiber has a K between about 250 nm and 550 nm at a wavelength of 1550 nm.
 12. The optical fiber of claim 1 wherein the optical fiber has a K between about 390 nm and 525 nm at a wavelength of 1550 nm.
 13. The optical fiber of claim 1 wherein the optical fiber has an r₁/r₂ ratio between about 0.15 and 0.4.
 14. The optical fiber of claim 1 wherein the optical fiber has an r₁/r₂ ratio between about 0.2 and 0.3.
 15. The optical fiber of claim 1 wherein the optical fiber has an attenuation less than about 1 dB/km at a wavelength of 1550 nm.
 16. The optical fiber of claim 1 wherein the optical fiber has an attenuation less than about 0.5 dB/km at a wavelength of 1550 nm.
 17. The optical fiber of claim 1 wherein the optical fiber has a dispersion slope in the range between about 0.02 ps/nm²/km and 0.06 ps/nm²/km at a wavelength of 1550 nm.
 18. The optical fiber of claim 1 wherein the optical fiber has a dispersion slope in the range between about 0.02 ps/nm²/km and 0.04 ps/nm²/km at a wavelength of 1550 nm.
 19. The optical fiber of claim 2 wherein the cladding region is comprised of substantially pure silica.
 20. An optical communications system for an optical signal having a plurality of wavelength channels lying within a wavelength range, the optical communications system comprising: a negative dispersion fiber having an input configured to receive the optical signal, the negative dispersion fiber having a length and dispersion sufficient to remove any positive chirp from each wavelength channel of the optical signal, thereby outputting a negatively chirped optical signal; an amplifying device configured to amplify the negatively chirped optical signal; the optical fiber of claim 1 configured to receive the negatively chirped optical signal. 